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Finding the Third Proportional to 104,010.75 and 152,313.75

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Solution

The third proportional to 104,010.75 and 152,313.75 is: 223,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,010.75 : 152,313.75 = 152,313.75 : x
  2. Step 2: Convert to fraction form
    104,010.75/152,313.75 = 152,313.75/x
  3. Step 3: Cross multiply
    104,010.75x = 152,313.75 × 152,313.75
  4. Step 4: Simplify right side
    104,010.75x = 23,199,478,439.06
  5. Step 5: Solve for x
    x = 23,199,478,439.06/104,010.75
  6. Step 6: Final answer
    x = 223,048.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.